11000100101001 has 16 divisors (see below), whose sum is σ = 16000435627968. Its totient is φ = 6666606489600.

The previous prime is 11000100100993. The next prime is 11000100101021. The reversal of 11000100101001 is 10010100100011.

It is not a de Polignac number, because 11000100101001 - 2³ = 11000100100993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11000100101021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1155796 + ... + 4830741.

It is an arithmetic number, because the mean of its divisors is an integer number (1000027226748).

Almost surely, 2^{11000100101001} is an apocalyptic number.

11000100101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11000100101001 is a deficient number, since it is larger than the sum of its proper divisors (5000335526967).

11000100101001 is a wasteful number, since it uses less digits than its factorization.

11000100101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6042232.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11000100101001 its reverse (10010100100011), we get a palindrome (21010200201012).

The spelling of 11000100101001 in words is "eleven trillion, one hundred million, one hundred one thousand, one".